1297138752 has 448 divisors, whose sum is σ = 4799746560. Its totient is φ = 334430208.

The previous prime is 1297138741. The next prime is 1297138769. The reversal of 1297138752 is 2578317921.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 1297138698 and 1297138707.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11479048 + ... + 11479160.

It is an arithmetic number, because the mean of its divisors is an integer number (10713720).

Almost surely, 2^1297138752 is an apocalyptic number.

1297138752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1297138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399873280).

1297138752 is an abundant number, since it is smaller than the sum of its proper divisors (3502607808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1297138752 is a wasteful number, since it uses less digits than its factorization.

1297138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 1297138752 is about 36015.8125272775. The cubic root of 1297138752 is about 1090.5915908759.

The spelling of 1297138752 in words is "one billion, two hundred ninety-seven million, one hundred thirty-eight thousand, seven hundred fifty-two".